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Simplifying 2y + -4(2y + -5) = 6(y + 3) + -10 Reorder the terms: 2y + -4(-5 + 2y) = 6(y + 3) + -10 2y + (-5 * -4 + 2y * -4) = 6(y + 3) + -10 2y + (20 + -8y) = 6(y + 3) + -10 Reorder the terms: 20 + 2y + -8y = 6(y + 3) + -10 Combine like terms: 2y + -8y = -6y 20 + -6y = 6(y + 3) + -10 Reorder the terms: 20 + -6y = 6(3 + y) + -10 20 + -6y = (3 * 6 + y * 6) + -10 20 + -6y = (18 + 6y) + -10 Reorder the terms: 20 + -6y = 18 + -10 + 6y Combine like terms: 18 + -10 = 8 20 + -6y = 8 + 6y Solving 20 + -6y = 8 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 20 + -6y + -6y = 8 + 6y + -6y Combine like terms: -6y + -6y = -12y 20 + -12y = 8 + 6y + -6y Combine like terms: 6y + -6y = 0 20 + -12y = 8 + 0 20 + -12y = 8 Add '-20' to each side of the equation. 20 + -20 + -12y = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -12y = 8 + -20 -12y = 8 + -20 Combine like terms: 8 + -20 = -12 -12y = -12 Divide each side by '-12'. y = 1 Simplifying y = 1
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